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Finding the Fourth Proportional to 201,218,224.40, 301,827,336.60 and 160,907,440.40

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Solution

The fourth proportional to 201,218,224.40, 301,827,336.60 and 160,907,440.40 is: 241,361,160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,218,224.40 : 301,827,336.60 = 160,907,440.40 : x
  2. Step 2: Convert to fraction form
    201,218,224.40/301,827,336.60 = 160,907,440.40/x
  3. Step 3: Cross multiply
    201,218,224.40x = 301,827,336.60 × 160,907,440.40
  4. Step 4: Simplify right side
    201,218,224.40x = 48,566,264,175,055,248
  5. Step 5: Solve for x
    x = 48,566,264,175,055,248/201,218,224.40
  6. Step 6: Final answer
    x = 241,361,160.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.